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A104231 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->{3,3,5,4}, 4->5, 5->6, 6->{6,6,2,1}. First row is 1. If current row is a,b,c,..., then the next row is a,b,c,...,f(a),f(b),f(c),... 0
1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 3, 5, 4, 1, 2, 2, 3, 2, 3, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 5, 4, 6, 5, 1, 2, 2, 3, 2, 3, 3, 3, 3, 5, 4, 2, 3, 3, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 5, 4, 3, 3, 5, 4, 6, 5, 2, 3, 3, 3, 3, 5, 4, 3, 3, 3, 5, 4, 3 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

This substitution was suggested by looking at output of the symbols of an actual Kenyon border tiling program.

LINKS

Richard Kenyon, The Construction of Self-Similar Tilings

MATHEMATICA

s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> {3, 3, 5, 4}, 4 -> 5, 5 -> 6, 6 -> {6, 6, 2, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 5]]

CROSSREFS

Cf. A073058, A103748.

Sequence in context: A072086 A180094 A103748 * A105111 A105112 A105113

Adjacent sequences:  A104228 A104229 A104230 * A104232 A104233 A104234

KEYWORD

nonn,tabf

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 02 2005

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Last modified February 15 10:06 EST 2012. Contains 205763 sequences.